Information on Result #652695
Linear OA(32109, 161, F32, 77) (dual of [161, 52, 78]-code), using construction X applied to AG(F,41P) ⊂ AG(F,62P) based on
- linear OA(3288, 119, F32, 77) (dual of [119, 31, 78]-code), using algebraic-geometric code AG(F,41P) [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120, using
- linear OA(3267, 119, F32, 56) (dual of [119, 52, 57]-code), using algebraic-geometric code AG(F,62P) [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120 (see above)
- linear OA(3221, 42, F32, 20) (dual of [42, 21, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(3221, 43, F32, 20) (dual of [43, 22, 21]-code), using
- algebraic-geometric code AG(F,22P) [i] based on function field F/F32 with g(F) = 1 and N(F) ≥ 44, using
- discarding factors / shortening the dual code based on linear OA(3221, 43, F32, 20) (dual of [43, 22, 21]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(32109, 80, F32, 2, 77) (dual of [(80, 2), 51, 78]-NRT-code) | [i] | OOA Folding | |